Each of the following functions has at most one critical point. Graph a few level curves and a few gradiants and, on this basis alone, decide whether the critical point is a local maximum (MA), a local minimum (MI), or a saddle point (S). Enter the appropriate abbreviation for each question, or N if there is no critical point. 1. f(x, y) =e-3x²-4y² Type of critical point: 2. f(x, y) e³x²-4y² = Type of critical point: 3. f(x, y) = 3x² + 4y² + 4 Type of critical point:
Each of the following functions has at most one critical point. Graph a few level curves and a few gradiants and, on this basis alone, decide whether the critical point is a local maximum (MA), a local minimum (MI), or a saddle point (S). Enter the appropriate abbreviation for each question, or N if there is no critical point. 1. f(x, y) =e-3x²-4y² Type of critical point: 2. f(x, y) e³x²-4y² = Type of critical point: 3. f(x, y) = 3x² + 4y² + 4 Type of critical point:
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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